13137696000 has 1296 divisors, whose sum is σ = 57888164880. Its totient is φ = 2838528000.

The previous prime is 13137695881. The next prime is 13137696001. The reversal of 13137696000 is 69673131.

13137696000 is a `hidden beast` number, since 13 + 1 + 37 + 6 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6611641344 + 6526054656 = 81312^2 + 80784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137696001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 453023986 + ... + 453024014.

Almost surely, 2^13137696000 is an apocalyptic number.

13137696000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13137696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28944082440).

13137696000 is an abundant number, since it is smaller than the sum of its proper divisors (44750468880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13137696000 is a wasteful number, since it uses less digits than its factorization.

13137696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 13137696000 in words is "thirteen billion, one hundred thirty-seven million, six hundred ninety-six thousand".